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Finding the Third Proportional to 7,724 and 15,808

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Solution

The third proportional to 7,724 and 15,808 is: 32,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 15,808 = 15,808 : x
  2. Step 2: Convert to fraction form
    7,724/15,808 = 15,808/x
  3. Step 3: Cross multiply
    7,724x = 15,808 × 15,808
  4. Step 4: Simplify right side
    7,724x = 249,892,864
  5. Step 5: Solve for x
    x = 249,892,864/7,724
  6. Step 6: Final answer
    x = 32,352.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.